Question

Give any 10 algebraic Identities.

Answer 1

Heya ,

Here are the identities:-

(a + b)2 = a2 + 2ab + b2

(a – b)2 = a2 – 2ab + b2

a2 – b2= (a + b)(a – b)

(x + a)(x + b) = x2 + (a + b) x + ab

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(a + b)3 = a3 + b3 + 3ab (a + b)

(a – b)3 = a3 – b3 – 3ab (a – b)

a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)

a3 + b3 = (a+b) (a2 -ab + b2)

a3 - b3 = (a-b) (a2 + ab +b2)

Hope it helps u...

Answer 2

Standard Algebraic Identities

The standard algebraic identities are:

Identity I:            (a + b)2 = a2 + 2ab + b2

Identity II:           (a – b)2 = a2 – 2ab + b2

Identity III:          a2 – b2= (a + b)(a – b)

Identity IV:         (x + a)(x + b) = x2 + (a + b) x + ab

Identity V:          (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Identity VI:         (a + b)3 = a3 + b3 + 3ab (a + b)

Identity VII:        (a – b)3 = a3 – b3 – 3ab (a – b)

Identity VIII:       a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)